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Finding the Third Proportional to 98,094 and 146,409

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Solution

The third proportional to 98,094 and 146,409 is: 218,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,094 : 146,409 = 146,409 : x
  2. Step 2: Convert to fraction form
    98,094/146,409 = 146,409/x
  3. Step 3: Cross multiply
    98,094x = 146,409 × 146,409
  4. Step 4: Simplify right side
    98,094x = 21,435,595,281
  5. Step 5: Solve for x
    x = 21,435,595,281/98,094
  6. Step 6: Final answer
    x = 218,520.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.